2(u+9)+2(u-18)=114

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Solution for 2(u+9)+2(u-18)=114 equation:


Simplifying
2(u + 9) + 2(u + -18) = 114

Reorder the terms:
2(9 + u) + 2(u + -18) = 114
(9 * 2 + u * 2) + 2(u + -18) = 114
(18 + 2u) + 2(u + -18) = 114

Reorder the terms:
18 + 2u + 2(-18 + u) = 114
18 + 2u + (-18 * 2 + u * 2) = 114
18 + 2u + (-36 + 2u) = 114

Reorder the terms:
18 + -36 + 2u + 2u = 114

Combine like terms: 18 + -36 = -18
-18 + 2u + 2u = 114

Combine like terms: 2u + 2u = 4u
-18 + 4u = 114

Solving
-18 + 4u = 114

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '18' to each side of the equation.
-18 + 18 + 4u = 114 + 18

Combine like terms: -18 + 18 = 0
0 + 4u = 114 + 18
4u = 114 + 18

Combine like terms: 114 + 18 = 132
4u = 132

Divide each side by '4'.
u = 33

Simplifying
u = 33

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